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Finding the Third Proportional to 37,659 and 81,154

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Solution

The third proportional to 37,659 and 81,154 is: 174,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,659 : 81,154 = 81,154 : x
  2. Step 2: Convert to fraction form
    37,659/81,154 = 81,154/x
  3. Step 3: Cross multiply
    37,659x = 81,154 × 81,154
  4. Step 4: Simplify right side
    37,659x = 6,585,971,716
  5. Step 5: Solve for x
    x = 6,585,971,716/37,659
  6. Step 6: Final answer
    x = 174,884.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.